777004041168 has 120 divisors (see below), whose sum is σ = 2204655024000. Its totient is φ = 255421251072.

The previous prime is 777004041161. The next prime is 777004041179. The reversal of 777004041168 is 861140400777.

777004041168 is a `hidden beast` number, since 77 + 70 + 0 + 40 + 411 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777004041161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9709383 + ... + 9789081.

It is an arithmetic number, because the mean of its divisors is an integer number (18372125200).

Almost surely, 2^777004041168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 777004041168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102327512000).

777004041168 is an abundant number, since it is smaller than the sum of its proper divisors (1427650982832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

777004041168 is a wasteful number, since it uses less digits than its factorization.

777004041168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80649 (or 80640 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 777004041168 in words is "seven hundred seventy-seven billion, four million, forty-one thousand, one hundred sixty-eight".